Two resistors of resistances `R_(1)=(300+-3) Omega` and `R_(2)=(500+-4) Omega ` are connected in series. The equivalent resistance of the series combination is

Options

A. `(800+-1)Omega`
B. `(800+-7)Omega`
C. `(200+-7)Omega`
D. `(200+-1)Omega`

Answer

B

Explanation

The equivalent resistance of series combination
is
`R_(s)=R_(1)+R_(2)=300Omega+500Omega=800Omega`
the error in equivalent resistace is given by
`DeltaR(DeltaR_(1)+DeltaR_(2))=(3+4)Omega=7Omega`
hence, the equivalent resistance along with error is
`(800+-7)Omega`